A particle is in the ground state in a one-dimensional box given by the potential(adsbygoogle = window.adsbygoogle || []).push({});

v(x)= 0 for 0<x<a

v(x)= inifinity other wise

A small perturbation V = V(0)x/a is now introduced. Show, correct to first order in perturbation theory, hat the energy change in the ground state is V(0)/2

the normalised wavefuctions of v(x) are PHi(n)=(sqrt(2/a))sin(n(pi)x/a)

i have looked up what i can on perturbation theory, and i can't get to doing this question,

if anyone could give me a few pointers on what to do and where to start, that would be great.

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# Using frist order perturbation theory to the the energy change in the ground state

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